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#pingcoincidencelattice

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Frank Wappler<p>Ping-coincidence lattice "with a twist":<br>a "Null-Strut Wheel".</p><p><a href="https://physics.stackexchange.com/questions/845793/can-this-set-of-causal-relations-with-8-fold-rotational-spatial-symmetry-be-fo" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">physics.stackexchange.com/ques</span><span class="invisible">tions/845793/can-this-set-of-causal-relations-with-8-fold-rotational-spatial-symmetry-be-fo</span></a></p><p>"Can this set of causal relations (with 8-fold rotational spatial symmetry) be found in a spacetime region of Schwarzschild geometry ?"<br>(PSE/q/845793)</p><p>(Enjoy it while it out-lasts the drive-by-assaulting ...)</p><p><a href="https://mathstodon.xyz/tags/PingCoincidenceLattice" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>PingCoincidenceLattice</span></a> <a href="https://mathstodon.xyz/tags/NullStrutWheel" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>NullStrutWheel</span></a> <a href="https://mathstodon.xyz/tags/Spacetime" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Spacetime</span></a> <a href="https://mathstodon.xyz/tags/Relativity" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Relativity</span></a></p>
Frank Wappler<p><span class="h-card"><a href="https://recurse.social/@lindsey" class="u-url mention" rel="nofollow noopener noreferrer" target="_blank">@<span>lindsey</span></a></span> <br>Tangent2 (incl. note to myself):</p><p>I've been thinking/writing/advocating <a href="https://mathstodon.xyz/tags/PingCoincidence" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>PingCoincidence</span></a> <a href="https://mathstodon.xyz/tags/PingCoincidenceLattice" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>PingCoincidenceLattice</span></a> <a href="https://mathstodon.xyz/tags/PingDuration" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>PingDuration</span></a> (cmp. in German "Ping-Koinzidenz" "Ping-Koinzidenz-Gitter" "Pingdauer") as basic construction or method of measurement in <a href="https://mathstodon.xyz/tags/Relativity" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Relativity</span></a> implementing [Einstein's maxime](<a href="http://einsteinpapers.press.princeton.edu/vol6-trans/165?highlightText=coincidences" rel="nofollow noopener noreferrer" target="_blank"><span class="invisible">http://</span><span class="ellipsis">einsteinpapers.press.princeton</span><span class="invisible">.edu/vol6-trans/165?highlightText=coincidences</span></a>)</p><p>[Your article](<a href="https://decomposition.al/blog/2023/01/18/enforcing-causally-ordered-message-delivery-on-the-senders-side/" rel="nofollow noopener noreferrer" target="_blank"><span class="invisible">https://</span><span class="ellipsis">decomposition.al/blog/2023/01/</span><span class="invisible">18/enforcing-causally-ordered-message-delivery-on-the-senders-side/</span></a>) uses the term "ack" ("<a href="https://mathstodon.xyz/tags/acknowledgement" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>acknowledgement</span></a>"); correspondingly <a href="https://mathstodon.xyz/tags/AckCoincidence" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>AckCoincidence</span></a> <a href="https://mathstodon.xyz/tags/AckCoincidenceLattice" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>AckCoincidenceLattice</span></a><br>but not "AckDuration" !</p><p> (1/2)</p>
Frank Wappler<p><span class="h-card"><a href="https://mathstodon.xyz/@ocfnash" class="u-url mention" rel="nofollow noopener noreferrer" target="_blank">@<span>ocfnash</span></a></span> <br><a href="http://olivernash.org/2018/07/08/poring-over-poncelet/index.html" rel="nofollow noopener noreferrer" target="_blank"><span class="invisible">http://</span><span class="ellipsis">olivernash.org/2018/07/08/pori</span><span class="invisible">ng-over-poncelet/index.html</span></a></p><p>Awesome!<br>I'd love to find out about <a href="https://mathstodon.xyz/tags/Poncelet" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Poncelet</span></a> generalizations or related results in 3+1 dimensional flat <a href="https://mathstodon.xyz/tags/MinkowskiSpace" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>MinkowskiSpace</span></a>, with</p><p> - all relevant edges along light cones (Are those "singular" and perhaps problematic, even in 3+1 D ?), and</p><p> - the \(n\)-sided polygon generalized to a <a href="https://mathstodon.xyz/tags/PingCoincidenceLattice" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>PingCoincidenceLattice</span></a> (cmp. my sketch <a href="https://mathstodon.xyz/@MisterRelativity/109435130217990848" rel="nofollow noopener noreferrer" target="_blank"><span class="invisible">https://</span><span class="ellipsis">mathstodon.xyz/@MisterRelativi</span><span class="invisible">ty/109435130217990848</span></a> )</p><p><a href="https://mathstodon.xyz/tags/SpaceTime" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>SpaceTime</span></a> <a href="https://mathstodon.xyz/tags/InertialFrame" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>InertialFrame</span></a> <a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>geometry</span></a> <a href="https://mathstodon.xyz/tags/relativity" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>relativity</span></a></p>
Frank Wappler<p><span class="h-card"><a href="https://mathstodon.xyz/@ngons" class="u-url mention" rel="nofollow noopener noreferrer" target="_blank">@<span>ngons</span></a></span> </p><p><a href="https://media.mathstodon.xyz/media_attachments/files/109/508/095/623/465/923/original/8e491ea678a51830.png" rel="nofollow noopener noreferrer" target="_blank"><span class="invisible">https://</span><span class="ellipsis">media.mathstodon.xyz/media_att</span><span class="invisible">achments/files/109/508/095/623/465/923/original/8e491ea678a51830.png</span></a></p><p>Neat!<br>Related question:<br>Attaching \(n\) equal tetrahedra face-to-face in some 3D-sequence, how close (in terms of a positive fraction of edge length) can two vertices be, as a function of \(n\) ?</p><p><a href="https://mathstodon.xyz/tags/PingCoincidenceLattice" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>PingCoincidenceLattice</span></a> <a href="https://mathstodon.xyz/tags/Spacetime" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Spacetime</span></a></p>
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